Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic
and Pattern Based Reason to inform and amuse thinkers and avid readers, studying or not. Enjoy.

Logic mastery strengthens comprehension and improve home, work & study habits.
Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
Forewords + leading chapters give original reasons, still valid, for site content & growth.

About: Site material shows how common troubles stem from steps too large or missing. Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin. If one site element is not to your liking, try another. Each is different. Many are unique

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus. Reform: look before you leap - plan all in detail first.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

Location: Site Entrance << Search

[1] [2] [3] [4] [5]

Key Word Search

Folder Search

44 matches:

  1.    wt: 9:   6 Fractions and Ratios/
  2.    wt: 8:   12 Comparison of Unsigned and Signed Numbers/
  3.    wt: 7:   7 Arithmetic and Fractions with Units/
  4.    wt: 6:   11 Squares and Square Roots/
  5.    wt: 6:   10 LCM GCD and Euclid GCD Algorithm/
  6.    wt: 6:   9 Combinatorics Trees Tables and Products/
  7.    wt: 6:   8 Arithmetic with Signed Numbers/
  8.    wt: 6:   4 Remainder Arithmetic and Divisibility/
  9.    wt: 6:   3 Prime Factorization Skills/
  10.    wt: 6:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 6:   A Decimal Counting and Adding Methods/
  12.    wt: 5:   5 Integers/
  13.    wt: 5:   D Decimal Long Division Methods/
  14.    wt: 5:   C Decimal Multiplication Methods/
  15.    wt: 5:   2 Arithmetic with Decimals/
  16.    wt: 5:   1 Decimal Place Value/
  17.    wt: 5:   Arithmetic and Number Theory Skills/
  18.    wt: 2:   6 More Less Greater Than Inequalities and Comparison/
  19.    wt: 2:   Step 1 Stick diagram and fractions/
  20.    wt: 2:   PreSchool and Primary Mathematics or Quantitative Skills/
  21.    wt: 1:   Mathematics Skills Year by Year/
  22.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  23.    wt: 1:   12 Function Translating and Rescaling/
  24.    wt: 1:   11 Parallel Straight Lines and Transversals/
  25.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  26.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  27.    wt: 1:   7 Complex Numbers/
  28.    wt: 1:   6 Trigonometry first steps/
  29.    wt: 1:   4 Lines and Slopes Take 1/
  30.    wt: 1:   3 Cartesian and Polar Coordinates/
  31.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  32.    wt: 1:   B Real Numbers Extrinsic Development/
  33.    wt: 1:   A Origins of Counting and Figuring Methods/
  34.    wt: 1:   9 Proportionality Backwards and Forwards/
  35.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  36.    wt: 1:   5 Real Numbers/
  37.    wt: 1:   4 Computation Rules and Function Notation/
  38.    wt: 1:   Time Date Matters/
  39.    wt: 1:   Skills with take home value/
  40.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  41.    wt: 1:   13 Lessons on Limits and Continuity/
  42.    wt: 1:   Volume 2 Three Skills For Algebra/
  43.    wt: 1:   Work and Study Tips/
  44.    wt: 1:   Resources and Reciprocal Links/

Web Page Search

362 matches:

  1.    wt: 5:   C Equality for Fractions and Two Term Ratios and Fractions
  2.    wt: 3:   B Fractions and Two Term Ratios
  3.    wt: 3:   A Similarities between Fractions and Two Term Ratios
  4.    wt: 3:   9 Improper Fractions and Mixed Numbers
  5.    wt: 3:   P Exact Arithmetic With Whole Numbers and Fractions
  6.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  7.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  8.    wt: 2:   Ramblings Extrinsic numbers theory
  9.    wt: 2:   2 Reading and Writing Skills
  10.    wt: 2:   Vector and Complex Number Applet
  11.    wt: 2:   Construction Methods and Criteria for Isometric and Similar Triangles
  12.    wt: 2:   14 cosine even and sine and tangent are odd
  13.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  14.    wt: 2:   3 Trigonometric Ratios sine and cosine
  15.    wt: 2:   3 Lengths and Areas on Maps and Plans
  16.    wt: 2:   11 Signed Number Addition and Addition Properties
  17.    wt: 2:   8 Division and Mulplication of Compound Fractions
  18.    wt: 2:   B Decimal Comparison and Subtraction
  19.    wt: 2:   2 Combing Counts Addition Skills and Principles
  20.    wt: 2:   4 Rates Ratios and Proporitionality
  21.    wt: 2:   4 Comparison of Negative Numbers
  22.    wt: 2:   2 More and Less Than for Counts and Measures
  23.    wt: 2:   1 Real Numbers Comparison
  24.    wt: 2:   16 Real Numbers Comparison
  25.    wt: 2:   10 Real Number Lengths and Signs
  26.    wt: 2:   1 Whole and Natural Numbers
  27.    wt: 2:   5 Talking about Numbers and Quantities
  28.    wt: 2:   4 A Brief Story of numbers and algebra
  29.    wt: 2:   3 Comparison of Negative Numbers
  30.    wt: 2:   1 More and Less Than for Counts and Measures
  31.    wt: 2:   11 What are real lengths and numbers
  32.    wt: 2:   5 lengths and signs of numbers
  33.    wt: 2:   2 signed and unsigned numbers as coordinates
  34.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  35.    wt: 2:   3 Multiplying Units and Numbers
  36.    wt: 2:   21 Reciprocals for Fractions and Wholes
  37.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  38.    wt: 2:   1 Comparison and Subtraction Easy Direct Cases
  39.    wt: 2:   8 What skills and work habits to require
  40.    wt: 2:   6. Counting and adding units and mixed units
  41.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  42.    wt: 2:   Quick history of numbers and algebra
  43.    wt: 2:   Exact Arithmetic Wholes and Fractions
  44.    wt: 2:   9 Comparison and Subtraction of Time Intervals
  45.    wt: 2:   38 Formulas and derivatives for powers and roots
  46.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  47.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  48.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  49.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  50.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  51.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  52.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  53.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  54.    wt: 2:   I. Logic and language skills
  55.    wt: 2:   How to Build Skills and Confidence
  56.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  57.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  58.    wt: 2:   1 From Number Recognition and Counting to Arithmetic B
  59.    wt: 2:   1 From Number Recognition and Counting to Arithmetic A
  60.    wt: 1:   Appendix 1 primary and preschool mathematic
  61.    wt: 1:   G LAMP Introduction Problem Solving Skills
  62.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  63.    wt: 1:   Skills Chapter 5 Calculus
  64.    wt: 1:   Skills Chapter 4 Logic
  65.    wt: 1:   Skills Chapter 3 Algebra
  66.    wt: 1:   Skills Chapter 2 Geometry
  67.    wt: 1:   Skills Chapter 1 Arithmetic
  68.    wt: 1:   Skills Chapter 0 Introduction
  69.    wt: 1:   7 logic review and decimals an odd combination
  70.    wt: 1:   5 logarithms and exponentials etc
  71.    wt: 1:   2 arithmetic with signed numbers
  72.    wt: 1:   1 arithmetic with unsigned numbers
  73.    wt: 1:   key notes and themes
  74.    wt: 1:   what should be learnt and When
  75.    wt: 1:   standards for course material
  76.    wt: 1:   Theory of Knowledge
  77.    wt: 1:   Education in mathematics science and technology
  78.    wt: 1:   Motivation and Context Problem
  79.    wt: 1:   fairness and inductive principles for instruction
  80.    wt: 1:   Home Tutoring and Home Schooling
  81.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  82.    wt: 1:   24 Standards For Skill Develoment Take II
  83.    wt: 1:   24 Standards For Skill Develoment
  84.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  85.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  86.    wt: 1:   17 Math Booklets for children and young teenagers
  87.    wt: 1:   14 Multiplication and Times Tables
  88.    wt: 1:   13 Addition and Addition Tables
  89.    wt: 1:   12 Goals and Objectives For Mathematics
  90.    wt: 1:   11 Help and Defend Your Child or Teens Education
  91.    wt: 1:   5 Patience Please for Yourself and Your Charges
  92.    wt: 1:   4 Learning Takes Time and Effort
  93.    wt: 1:   1 Speaking Skills
  94.    wt: 1:   Ages 12 to 14 Skills with take home value
  95.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  96.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  97.    wt: 1:   26 Function definitions done and coming
  98.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  99.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  100.    wt: 1:   19 Horizontal line rule and method
  101.    wt: 1:   18 Vertical Line Rule and Method
  102.    wt: 1:   17 Function maxima minima and their location
  103.    wt: 1:   11 Function Domain Range Source and Targets
  104.    wt: 1:   9 Set theory term relation possible origins
  105.    wt: 1:   8 Set view of relations and functions
  106.    wt: 1:   6 Set Existence Formation and Notation
  107.    wt: 1:   4 Function notation in and beyond mathematics
  108.    wt: 1:   9 quadratics physical and further context
  109.    wt: 1:   11 Growth and Decay in Biology
  110.    wt: 1:   10 Exponential Growth and Decay Models
  111.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  112.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  113.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  114.    wt: 1:   16 cotangent function Definition Graph and Inverse
  115.    wt: 1:   15 cosecant function Definition Graph and Inverse
  116.    wt: 1:   14 secant function Definition Graph and Inverse
  117.    wt: 1:   13 cosecant function Definition Graph and Inverse
  118.    wt: 1:   9 Summary Degrees to Radians and back
  119.    wt: 1:   1 Degrees and Radians Introduction
  120.    wt: 1:   A Global Time and Navigation
  121.    wt: 1:   15 Dot and Cross Product
  122.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  123.    wt: 1:   Parallel Lines and Parallel Transversals
  124.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  125.    wt: 1:   Parallel Lines and Interior Angles
  126.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  127.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  128.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  129.    wt: 1:   29 secant cosecant and cotangent for acute angles
  130.    wt: 1:   27 Logarithmic use of products of sines and cosines
  131.    wt: 1:   26 Formulas for products of sines and cosines
  132.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  133.    wt: 1:   21 sine and cosine Half Angle Formulas
  134.    wt: 1:   20 sine and cosine Double Angle Formulas
  135.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  136.    wt: 1:   17E Trig Formulas for dot and cross Products
  137.    wt: 1:   17D cis formulas for sine cosines and tangent
  138.    wt: 1:   17C sine and cosine double triple angle formulas
  139.    wt: 1:   17A The complex number valued trig function cis
  140.    wt: 1:   10 Graphs of sines and cosines many periods
  141.    wt: 1:   9 Graphs of sine and cosine over one period
  142.    wt: 1:   7 period of sine and cosine
  143.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  144.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  145.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  146.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  147.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  148.    wt: 1:   21 Logarithms Powers and Exponentials
  149.    wt: 1:   20 N th Roots of Complex Numbers
  150.    wt: 1:   16 References and Originality Question
  151.    wt: 1:   13 Trig Formulas for dot and cross Products
  152.    wt: 1:   12 cis formulas for sine cosines and tangent
  153.    wt: 1:   11 sine and cosine double triple angle formulas
  154.    wt: 1:   9 The complex number valued trig function cis
  155.    wt: 1:   6 Field Properties of Complex Number
  156.    wt: 1:   2 Complex Numbers made easier we hope
  157.    wt: 1:   Appetizer A Complex Number Applet
  158.    wt: 1:   7 Trignometric Ratios Unit Circle
  159.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  160.    wt: 1:   2 Similar Triangles Equality of Corresponding Side Ratios
  161.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  162.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  163.    wt: 1:   8 Similarity of Triangles and Polygons
  164.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  165.    wt: 1:   10 Midpoint of [a b] and [b a]
  166.    wt: 1:   7 Exercises to test skill and concept mastery
  167.    wt: 1:   1 Numerical view of lines and their equations
  168.    wt: 1:   What is and is not here
  169.    wt: 1:   7 Complex Numbers Appetizer
  170.    wt: 1:   6 Polar Multiplication and Rotation
  171.    wt: 1:   5 Cartesian Addition and Translation
  172.    wt: 1:   4 Polar Coordinates to and from
  173.    wt: 1:   PS H Distributive Law For Complex Numbers
  174.    wt: 1:   16 Angles Subtended By Chords and Diameters
  175.    wt: 1:   6 Ruler and compass Angle Bisection
  176.    wt: 1:   1 Initial Concepts and Terms
  177.    wt: 1:   musings do not puiblish real numbers
  178.    wt: 1:   A Modular and Remainder Arithmetic
  179.    wt: 1:   A Signed Number Arithmetic Review
  180.    wt: 1:   26 More Less Greater Than Comparison
  181.    wt: 1:   24 Signed Numbers Arithmmetic Properties
  182.    wt: 1:   22 Multiplication of Signed Numbers
  183.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  184.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  185.    wt: 1:   13 Arrows and Vectors in a Plane
  186.    wt: 1:   12 Real Numbers Line Signed Coordinates
  187.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  188.    wt: 1:   5 Fractions with Infinite Decimal Expansions
  189.    wt: 1:   1 Fractions with Finite Decimal Expansions
  190.    wt: 1:   5 Distributive Law for Whole Numbers
  191.    wt: 1:   3 Multiplicative Counting Skills Principles
  192.    wt: 1:   1 The Counting Origins of Numbers
  193.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  194.    wt: 1:   5 Proportionality in Equivalent Fractions
  195.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  196.    wt: 1:   6 Compound Interest Forward and Backwards
  197.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  198.    wt: 1:   6 Equations and Systems Equivalent or Implied
  199.    wt: 1:   4 Subtraction and Division Axioms
  200.    wt: 1:   2 Addition and Multiplication Axioms
  201.    wt: 1:   3 More and Less Than with Unlike Signs
  202.    wt: 1:   15 Real Number Division
  203.    wt: 1:   14 Real Number Multiplication
  204.    wt: 1:   13 Real Number Subtraction
  205.    wt: 1:   12 Real Number Additive Inverses or Negatives
  206.    wt: 1:   11 Real Number Addition
  207.    wt: 1:   8 Coordinates for Maps and Planes
  208.    wt: 1:   7 Real Numbers as Line Cordinates
  209.    wt: 1:   6 Unsigned Real Numbers
  210.    wt: 1:   5 Rational Numbers More
  211.    wt: 1:   4 Rational Numbers
  212.    wt: 1:   3 Fractions
  213.    wt: 1:   3 Geometric Formulas and Function Notation
  214.    wt: 1:   1 Formulas Dependence and Function Notation
  215.    wt: 1:   3 GE III Equation Addition and Multiplication
  216.    wt: 1:   2 GE II Comparison
  217.    wt: 1:   1 Written work formats for developing and showing skill
  218.    wt: 1:   9 Sets in Probability and Statistics
  219.    wt: 1:   8 Sets of Numbers
  220.    wt: 1:   1 Three Skills For Algebra
  221.    wt: 1:   2 More and Less Than with Unlike Signs
  222.    wt: 1:   1 Squares and Square Roots Introduction
  223.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  224.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  225.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  226.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  227.    wt: 1:   7 GCD and LCM from prime factorization
  228.    wt: 1:   4 LCM of 8 and 10 via Prime
  229.    wt: 1:   3 Counting with Tables and Trees II
  230.    wt: 1:   2 Counting with Tables and Trees I
  231.    wt: 1:   1 Counting and Counting Methods I
  232.    wt: 1:   10 dividing signed numbers
  233.    wt: 1:   9 subtracting signed numbers
  234.    wt: 1:   8 multiplying signed numbers
  235.    wt: 1:   7 negative and additive inverse
  236.    wt: 1:   6 adding signed numbers
  237.    wt: 1:   3 signed coordinates for maps and planes
  238.    wt: 1:   6 Simplification of Fractions with Units
  239.    wt: 1:   4 Fractions with Units
  240.    wt: 1:   2 Equality and Units
  241.    wt: 1:   1 Addition and Subtraction with Units
  242.    wt: 1:   D Three Term Ratios
  243.    wt: 1:   22 Complex Compound Fractions
  244.    wt: 1:   20 Dividing Fractions the Why
  245.    wt: 1:   19 Dividing Fractions How TO
  246.    wt: 1:   17 Efficient Ways to Add and Subtract
  247.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  248.    wt: 1:   14 Adding and Subtracting with Like Denominators
  249.    wt: 1:   13 Fraction Comparison Algebraic View
  250.    wt: 1:   12 Fraction Comparison
  251.    wt: 1:   6 Multiplication of Mixed Numbers
  252.    wt: 1:   5 Equivalent Fractions
  253.    wt: 1:   11 Adding Integers Formulas and Examples
  254.    wt: 1:   8 Multiplication by Signed Numbers Integers
  255.    wt: 1:   6 Multiplication by Natural Numbers
  256.    wt: 1:   5 Zero Movement and Additive Inverses
  257.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  258.    wt: 1:   17 Identify and Count Factors using Primes
  259.    wt: 1:   12 LCD GCD and LCM using Primes
  260.    wt: 1:   7 Calculator Usage Notes and Cautions
  261.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  262.    wt: 1:   5 Prime Factorization and a Square Rule
  263.    wt: 1:   3 video Primes and Composites from 9 times table
  264.    wt: 1:   2 Prime and Composites less than 16
  265.    wt: 1:   Division with Counts and Length
  266.    wt: 1:   Long Division forwards and backwards Example 3
  267.    wt: 1:   Long Division forwards and backwards Example 2
  268.    wt: 1:   Long Division forwards and backwards Example 1
  269.    wt: 1:   10 Division by Five Long and Short Ways
  270.    wt: 1:   4 Two and Three Digit Multipliers
  271.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  272.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  273.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  274.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  275.    wt: 1:   7 Adding decimal fractions using decimal point
  276.    wt: 1:   11 Place Value SI Standard International way
  277.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  278.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  279.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  280.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  281.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  282.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  283.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  284.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  285.    wt: 1:   016 Numbering Occidental Calendar Days
  286.    wt: 1:   015 School and work day counting tables
  287.    wt: 1:   011 Division of Time Intervals By Numbers
  288.    wt: 1:   4 Mixing and Changing Units of Time
  289.    wt: 1:   3 Units and Lengths of Time
  290.    wt: 1:   2 Time and Date Matters in School
  291.    wt: 1:   1 Intro of Kids To Time Date Skills
  292.    wt: 1:   Example 1. Area Between x and x squared
  293.    wt: 1:   17 Derivatives of quotients of sine and cosine
  294.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  295.    wt: 1:   15 sine and cosine derivatives 3rd step
  296.    wt: 1:   14 sine and cosine derivatives 2nd step
  297.    wt: 1:   13 sine and cosine derivatives 1st step
  298.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  299.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  300.    wt: 1:   9 Limits Continuity and Composition
  301.    wt: 1:   5 Jumps and absence of unlimited error control
  302.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  303.    wt: 1:   PostScript For and Against Decimal Perspectives
  304.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  305.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  306.    wt: 1:   Chapter 22 Complex Numbers
  307.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  308.    wt: 1:   Chapter 12. Units and Slopes
  309.    wt: 1:   Chapter 10 Slopes and Units
  310.    wt: 1:   Chapter 7 Slopes and Velocity
  311.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  312.    wt: 1:   Chapter 2. Slopes and Ski Trails
  313.    wt: 1:   Appendix E. How To Study Mathematics and Why
  314.    wt: 1:   Appendix D. What to do in School and Why
  315.    wt: 1:   Chapter 31 Direct and Indirect Reason
  316.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  317.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  318.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  319.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  320.    wt: 1:   Chapter 20. Degrees and Radians
  321.    wt: 1:   Chapter 19. Functions and Sets
  322.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  323.    wt: 1:   Chapter 12. Shorthand Usage Guide
  324.    wt: 1:   Chapter 11. Why Shorthand
  325.    wt: 1:   Chapter 10 Describing and Changing Calculations
  326.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  327.    wt: 1:   Chapter 8 Three Skills For Algebra
  328.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  329.    wt: 1:   Chapter 2 For and Against Mathematics
  330.    wt: 1:   Postscript B More on Story Telling and Reason
  331.    wt: 1:   Chapter 24 Direct and Indirect Reason
  332.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  333.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  334.    wt: 1:   Chapter 18 Sense and Knowledge
  335.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  336.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  337.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  338.    wt: 1:   R Why Learn Mathematics Skills
  339.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  340.    wt: 1:   O On Learning Mathematics and Science
  341.    wt: 1:   L Skills with take home value
  342.    wt: 1:   N Improving Marks on Tests and Finals
  343.    wt: 1:   J. More on written work and showing skill
  344.    wt: 1:   H Jigsaw puzzles and problem solving
  345.    wt: 1:   G. Written work formats for developing and showing skill
  346.    wt: 1:   E. When and how to correct errors
  347.    wt: 1:   Chapter 8 Skipped Topics and Why
  348.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  349.    wt: 1:   Chapter 6 More Algebra and Geometry
  350.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  351.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  352.    wt: 1:   7 Games and Activities for Instruction
  353.    wt: 1:   6 Measuring via counting or arithmetic the role of fractions
  354.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  355.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  356.    wt: 1:   Helping the Blind in Logic and Mathematics
  357.    wt: 1:   More Algebra and Slope based Calculus Preview
  358.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  359.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  360.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  361.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  362.    wt: 1:   The Math Forum and Site Content

Extended Search

713 matches:

  1.    wt: 9:   2 More and Less Than with Unlike Signs
  2.    wt: 9:   5 Reciprocals and Division for Fractions with Units
  3.    wt: 9:   3 Multiplying Units and Numbers
  4.    wt: 9:   21 Working With Signs
  5.    wt: 9:   18 Efficient Ways to Multiply
  6.    wt: 9:   16 Addition Subtraction Comparision Compared
  7.    wt: 9:   11 Simplification an Algebraic View
  8.    wt: 9:   8 Numerals Fractionals Quantals Take II
  9.    wt: 9:   7 Numerals Fractionals Quantals
  10.    wt: 9:   6 Multiplication Algebraically Take II
  11.    wt: 9:   4 Fraction Multiplication
  12.    wt: 9:   3 Unit fraction of a fraction
  13.    wt: 9:   2 Unit Fraction Multiplication
  14.    wt: 9:   1 What is a fraction Take II
  15.    wt: 9:   1 What is a fraction
  16.    wt: 9:   Fraction Operations by Raising Terms A Simple Innovation
  17.    wt: 8:   4 Greater More Less Than Signs in General
  18.    wt: 8:   11 What are real lengths and numbers
  19.    wt: 8:   5 lengths and signs of numbers
  20.    wt: 8:   2 signed and unsigned numbers as coordinates
  21.    wt: 8:   6 Simplification of Fractions with Units
  22.    wt: 8:   4 Fractions with Units
  23.    wt: 8:   2 Equality and Units
  24.    wt: 8:   1 Addition and Subtraction with Units
  25.    wt: 8:   6 Sieve of Eratosthenes and Square Rule
  26.    wt: 8:   1 Comparison and Subtraction Easy Direct Cases
  27.    wt: 8:   8 What skills and work habits to require
  28.    wt: 8:   6. Counting and adding units and mixed units
  29.    wt: 7:   1 Squares and Square Roots Introduction
  30.    wt: 7:   17 GCD LCM of 85 and 60 via Prime
  31.    wt: 7:   16 GCD and LCM of 650 225 via Prime
  32.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
  33.    wt: 7:   9 GCD of 360 110 via Primes and Euclid Algorithm
  34.    wt: 7:   7 GCD and LCM from prime factorization
  35.    wt: 7:   4 LCM of 8 and 10 via Prime
  36.    wt: 7:   3 Counting with Tables and Trees II
  37.    wt: 7:   2 Counting with Tables and Trees I
  38.    wt: 7:   1 Counting and Counting Methods I
  39.    wt: 7:   10 dividing signed numbers
  40.    wt: 7:   9 subtracting signed numbers
  41.    wt: 7:   8 multiplying signed numbers
  42.    wt: 7:   7 negative and additive inverse
  43.    wt: 7:   6 adding signed numbers
  44.    wt: 7:   3 signed coordinates for maps and planes
  45.    wt: 7:   7 Converting or Changing Units
  46.    wt: 7:   6 Multiplication by Natural Numbers
  47.    wt: 7:   A Decimals Modular and Remainder Arithmetic
  48.    wt: 7:   17 Identify and Count Factors using Primes
  49.    wt: 7:   12 LCD GCD and LCM using Primes
  50.    wt: 7:   7 Calculator Usage Notes and Cautions
  51.    wt: 7:   5 Prime Factorization and a Square Rule
  52.    wt: 7:   3 video Primes and Composites from 9 times table
  53.    wt: 7:   2 Prime and Composites less than 16
  54.    wt: 7:   Appendix 1 Decimals Comparison Method Take II
  55.    wt: 7:   7 Subtraction for Decimal Fractions with Exercises
  56.    wt: 7:   6 Subtraction with Conversion Example with Exercises
  57.    wt: 7:   4 Subtraction with Conversions Borrows and Letter J
  58.    wt: 7:   3 Harder Cases Convert to Compare and Subtract
  59.    wt: 7:   7 Adding decimal fractions using decimal point
  60.    wt: 7:   10 Names for Big Numbers and Powers of Ten Expansion
  61.    wt: 7:   Quick history of numbers and algebra
  62.    wt: 7:   Exact Arithmetic Wholes and Fractions
  63.    wt: 6:   5 Square Roots with primes more still
  64.    wt: 6:   4 Square Roots with primes more
  65.    wt: 6:   3 Properties of Square Roots with example
  66.    wt: 6:   2 Square Roots with Prime
  67.    wt: 6:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  68.    wt: 6:   14 GCD of 650 110 via Primes LCM via Product Rule
  69.    wt: 6:   13 GCD from given Prime Factorization
  70.    wt: 6:   11 GCD 2700 288 via Euclid Algorithm
  71.    wt: 6:   8 GCD from Euclidean Algorithm
  72.    wt: 6:   6 GCD from Prime
  73.    wt: 6:   5 Common Divisors 60 45 via Prime
  74.    wt: 6:   LCM 60 45 Avoid List Method Use Prime
  75.    wt: 6:   2 Least Common Multiple LCM intro via list method
  76.    wt: 6:   1 Least Common Multiples LCM Introduction
  77.    wt: 6:   12 GCD 2700 288 via Prime
  78.    wt: 6:   5 Counting with Tables Trees Product Rule Take II
  79.    wt: 6:   4 Counting with Trees Product Rule Take I
  80.    wt: 6:   4 signed coordinates for regions in space
  81.    wt: 6:   11 Adding Integers Formulas and Examples
  82.    wt: 6:   8 Multiplication by Signed Numbers Integers
  83.    wt: 6:   5 Zero Movement and Additive Inverses
  84.    wt: 6:   27 Divisibility by 2 3 6 5 9 10 Example
  85.    wt: 6:   26 Divisibility by 2 3 5 Example
  86.    wt: 6:   25 Divisibility Tests for 2 3 5 9 10 Example
  87.    wt: 6:   24 Divisibility Tests for 2 3 5 9 10
  88.    wt: 6:   23 Remainder Arithmetic Modulo 2
  89.    wt: 6:   22 Remainder Arithmetic Modulo 3 more
  90.    wt: 6:   21 Remainder Arithmetic Modulo 3
  91.    wt: 6:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  92.    wt: 6:   19 Remainder Arithmetic Rule of 9 for checking sums III
  93.    wt: 6:   18 Remainder Arithmetic Rule of 9 for checking sums II
  94.    wt: 6:   17 Remainder Arithmetic Rule of 9 for checking sums I
  95.    wt: 6:   16 Remainder Arithmetic Modulo 9 Example 2
  96.    wt: 6:   15 Remainder Arithmetic Modulo 9 Example
  97.    wt: 6:   14 Remainder Arithmetic Modulo 9 Example
  98.    wt: 6:   13 Remainder Arithmetic Modulo 5 Example
  99.    wt: 6:   12 Remainder Arithmetic Modulo 10 Example
  100.    wt: 6:   11 Remainder Arithmetic Long Division by 5 Quickly more
  101.    wt: 6:   10 Remainder Arithmetic Long Division by 5 Quickly
  102.    wt: 6:   9 Remainder Arithmetic Divisibility by 5
  103.    wt: 6:   8 Remainder Arithmetic Morulo 5 Examples II
  104.    wt: 6:   7 Remainder Arithmetic Modulo 5 Examples I
  105.    wt: 6:   6 Remainder Arithmetic Modulo 5 Propertie
  106.    wt: 6:   5 Remainder Arithmetic Modulo 5
  107.    wt: 6:   4 Remainder Arithmetic Modulo 10 in general
  108.    wt: 6:   3 Remainder Arithmetic Modulos 10 more still
  109.    wt: 6:   2 Remainder Arithmetic Modulo 10 more
  110.    wt: 6:   1 Remainder Arithmetic Modulo 10
  111.    wt: 6:   20 Uniqueness of Prime Factorization
  112.    wt: 6:   19 video Prime Factorization Unique
  113.    wt: 6:   18 video Count Factors given Prime Factorization
  114.    wt: 6:   16 video Factors of 980 using prime
  115.    wt: 6:   15 video Factors of 20 using Prime Factorization
  116.    wt: 6:   14 video Factors of 24 Take II
  117.    wt: 6:   13 video Factors of 24 using prime
  118.    wt: 6:   11 Efficient Square Rule Use
  119.    wt: 6:   10 video Prime Factorization upto 23 squared
  120.    wt: 6:   9 video Prime Factorization upto 19 squared
  121.    wt: 6:   8 video Prime Factorization upto 19
  122.    wt: 6:   4 video Prime Factorization Introduction
  123.    wt: 6:   1 video how Products are bigger than factor
  124.    wt: 6:   Division with Counts and Length
  125.    wt: 6:   Long Division forwards and backwards Example 3
  126.    wt: 6:   Long Division forwards and backwards Example 2
  127.    wt: 6:   Long Division forwards and backwards Example 1
  128.    wt: 6:   10 Division by Five Long and Short Ways
  129.    wt: 6:   6 Why Decimal Long Division Methods Works Take I
  130.    wt: 6:   6 Multiplication Commutes Order Not Important
  131.    wt: 6:   4 Two and Three Digit Multipliers
  132.    wt: 6:   Appendix 2 Three Decimal Subtraction Methods
  133.    wt: 6:   Subtraction with J Conversions Example
  134.    wt: 6:   Subtraction Another Video Lesson
  135.    wt: 6:   9 22 Minute Subtraction Review Video
  136.    wt: 6:   8 Subtraction with Units of Measure
  137.    wt: 6:   5 A Tip for Efficent Subtraction
  138.    wt: 6:   2 Subtraction Easy Case Examples
  139.    wt: 6:   Appendix 1 Counting Revisited 15 minute video
  140.    wt: 6:   5. How to add decimals C. Examples
  141.    wt: 6:   4. How to add with decimals B with conversions
  142.    wt: 6:   3. How to add with decimals A sans conversions
  143.    wt: 6:   2 Decimal Counting Practices
  144.    wt: 6:   1. Explaining Addition Table
  145.    wt: 6:   11 Place Value SI Standard International way
  146.    wt: 6:   9 Place Value Review Decimal form of Avogrados number included
  147.    wt: 6:   8 Review Lesson 1 2 4 and 6 All in One
  148.    wt: 6:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  149.    wt: 6:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  150.    wt: 6:   5 More on Groups of 3 Place Value in Decimal Fractions
  151.    wt: 6:   4 Groups of 3 Place Value in Decimal Fractions
  152.    wt: 6:   1 Place Value in Three Digit Whole Numbers
  153.    wt: 6:   Practical Methods Ends and Values for Arithmetic
  154.    wt: 5:   arithmetic videos Real Player Format
  155.    wt: 5:   D Remainders Modulo 11 Pair Rule
  156.    wt: 5:   C Divisibility by 11 Integer Recognition Method
  157.    wt: 5:   B Integer Long Division Multiple Choices
  158.    wt: 5:   A Associative Law Theorectical Note
  159.    wt: 5:   13 Subtraction with Additive Inverse
  160.    wt: 5:   12 Adding Integers More Examples
  161.    wt: 5:   10 Integer Multiplication Formulas
  162.    wt: 5:   9 Multiplying Integers
  163.    wt: 5:   7 Multiplication by Signs
  164.    wt: 5:   4 Adding Movements wiht opposite directions
  165.    wt: 5:   3 Adding Movements with same direction
  166.    wt: 5:   2 Integers Multiplies of a Unit Moverment
  167.    wt: 5:   1 Integers as Coordinates
  168.    wt: 5:   Long Division Backwards more
  169.    wt: 5:   Long Division Backward
  170.    wt: 5:   12 Why Long Division Works Take III
  171.    wt: 5:   11 Another Single Digit Divisor Example
  172.    wt: 5:   9 Why Long Division Works Take II
  173.    wt: 5:   8 Correcting the Mistake
  174.    wt: 5:   7 Long Divison Mistake Catching
  175.    wt: 5:   5 Long Division Include Zeroes or not
  176.    wt: 5:   4 Division with 2 Digit Divsors
  177.    wt: 5:   3 Division Single Digit Divisor Example
  178.    wt: 5:   2 Division with Single Digit Divisors
  179.    wt: 5:   1 Divsion Physical Examples
  180.    wt: 5:   D Decimal Multiplication Methods Derived
  181.    wt: 5:   C Counting Areas with Powers of Ten
  182.    wt: 5:   B Powers of Ten
  183.    wt: 5:   A Elementary Basis for Multiplication Methods
  184.    wt: 5:   5 Decimal Fraction Multiplication
  185.    wt: 5:   3 More One Digit Multipliers
  186.    wt: 5:   2 One Digit Multipliers
  187.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  188.    wt: 5:   Video Decimal Multiplication Geometric View Example 2
  189.    wt: 5:   Video Power Notation in Decimal Expansion
  190.    wt: 5:   1 Why 3 times 5 gives 15
  191.    wt: 5:   3 More on Groups of 3 Multi Digit Place Value
  192.    wt: 5:   2 Groups of Three Place Value for Multidigit Decimals
  193.    wt: 5:   Formula Evaluation how to show work
  194.    wt: 5:   Expression Evaluation how to show work
  195.    wt: 5:   The 20 Times Table
  196.    wt: 5:   The 12 Times Table Visually
  197.    wt: 5:   About folder contents
  198.    wt: 5:   Primary and Secondary Skills and Practices with Take Home Value
  199.    wt: 4:   4 Comparison of Negative Numbers
  200.    wt: 4:   2 More and Less Than for Counts and Measures
  201.    wt: 4:   1 Real Numbers Comparison
  202.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
  203.    wt: 4:   5 Interpreting and Drawing Maps and Plans.
  204.    wt: 4:   2 Identifying Size and Position Place and Spatial Sense
  205.    wt: 4:   1 From Number Recognition and Counting to Arithmetic B
  206.    wt: 4:   1 From Number Recognition and Counting to Arithmetic A
  207.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  208.    wt: 3:   6 Field Properties of Complex Number
  209.    wt: 3:   5 Trigonometric Ratios For Tangent and Special Triangles
  210.    wt: 3:   3 Trigonometric Ratios sine and cosine
  211.    wt: 3:   6 Polar Multiplication and Rotation
  212.    wt: 3:   6 Ruler and compass Angle Bisection
  213.    wt: 3:   11 Signed Number Addition and Addition Properties
  214.    wt: 3:   8 Division and Mulplication of Compound Fractions
  215.    wt: 3:   B Decimal Comparison and Subtraction
  216.    wt: 3:   2 Combing Counts Addition Skills and Principles
  217.    wt: 3:   4 Rates Ratios and Proporitionality
  218.    wt: 3:   3 More and Less Than with Unlike Signs
  219.    wt: 3:   16 Real Numbers Comparison
  220.    wt: 3:   10 Real Number Lengths and Signs
  221.    wt: 3:   1 Whole and Natural Numbers
  222.    wt: 3:   6 Three Examples
  223.    wt: 3:   9 Comparison and Subtraction of Time Intervals
  224.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
  225.    wt: 3:   V Reasons and Motivations for Logic and Mathematics
  226.    wt: 3:   I. Logic and language skills
  227.    wt: 3:   How to Build Skills and Confidence
  228.    wt: 3:   7 Games and Activities for Instruction
  229.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  230.    wt: 3:   4 Money Matters Saving Earning Buying Selling and Budgets
  231.    wt: 3:   3 Telling Tracking Time Temporal and More Place Sense
  232.    wt: 3:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  233.    wt: 2:   Ramblings Extrinsic numbers theory
  234.    wt: 2:   2 Reading and Writing Skills
  235.    wt: 2:   Ages 12 to 14 Skills with take home value
  236.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  237.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  238.    wt: 2:   9 Summary Degrees to Radians and back
  239.    wt: 2:   1 Degrees and Radians Introduction
  240.    wt: 2:   Vector and Complex Number Applet
  241.    wt: 2:   Parallel Lines and Parallel Transversals
  242.    wt: 2:   Parallel Lines and Alternating Corresponding Angles
  243.    wt: 2:   Parallel Lines and Interior Angles
  244.    wt: 2:   14 cosine even and sine and tangent are odd
  245.    wt: 2:   21 Logarithms Powers and Exponentials
  246.    wt: 2:   20 N th Roots of Complex Numbers
  247.    wt: 2:   16 References and Originality Question
  248.    wt: 2:   13 Trig Formulas for dot and cross Products
  249.    wt: 2:   12 cis formulas for sine cosines and tangent
  250.    wt: 2:   11 sine and cosine double triple angle formulas
  251.    wt: 2:   9 The complex number valued trig function cis
  252.    wt: 2:   2 Complex Numbers made easier we hope
  253.    wt: 2:   Appetizer A Complex Number Applet
  254.    wt: 2:   7 Trignometric Ratios Unit Circle
  255.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  256.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  257.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  258.    wt: 2:   10 Midpoint of [a b] and [b a]
  259.    wt: 2:   7 Exercises to test skill and concept mastery
  260.    wt: 2:   6 Intersection of lines by solving linear systems
  261.    wt: 2:   1 Numerical view of lines and their equations
  262.    wt: 2:   What is and is not here
  263.    wt: 2:   7 Complex Numbers Appetizer
  264.    wt: 2:   5 Cartesian Addition and Translation
  265.    wt: 2:   4 Polar Coordinates to and from
  266.    wt: 2:   PS H Distributive Law For Complex Numbers
  267.    wt: 2:   16 Angles Subtended By Chords and Diameters
  268.    wt: 2:   1 Initial Concepts and Terms
  269.    wt: 2:   3 Lengths and Areas on Maps and Plans
  270.    wt: 2:   musings do not puiblish real numbers
  271.    wt: 2:   A Modular and Remainder Arithmetic
  272.    wt: 2:   A Signed Number Arithmetic Review
  273.    wt: 2:   26 More Less Greater Than Comparison
  274.    wt: 2:   24 Signed Numbers Arithmmetic Properties
  275.    wt: 2:   22 Multiplication of Signed Numbers
  276.    wt: 2:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  277.    wt: 2:   14 Vector Head to Tail Sums and Resultants
  278.    wt: 2:   13 Arrows and Vectors in a Plane
  279.    wt: 2:   12 Real Numbers Line Signed Coordinates
  280.    wt: 2:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  281.    wt: 2:   5 Fractions with Infinite Decimal Expansions
  282.    wt: 2:   1 Fractions with Finite Decimal Expansions
  283.    wt: 2:   6 Column Methods for Decimal Multiplication
  284.    wt: 2:   5 Distributive Law for Whole Numbers
  285.    wt: 2:   3 Multiplicative Counting Skills Principles
  286.    wt: 2:   1 The Counting Origins of Numbers
  287.    wt: 2:   5 Proportionality in Equivalent Fractions
  288.    wt: 2:   6 Equations and Systems Equivalent or Implied
  289.    wt: 2:   4 Subtraction and Division Axioms
  290.    wt: 2:   2 Addition and Multiplication Axioms
  291.    wt: 2:   5 Greater More Less Than Signs in General
  292.    wt: 2:   15 Real Number Division
  293.    wt: 2:   14 Real Number Multiplication
  294.    wt: 2:   13 Real Number Subtraction
  295.    wt: 2:   12 Real Number Additive Inverses or Negatives
  296.    wt: 2:   11 Real Number Addition
  297.    wt: 2:   8 Coordinates for Maps and Planes
  298.    wt: 2:   7 Real Numbers as Line Cordinates
  299.    wt: 2:   6 Unsigned Real Numbers
  300.    wt: 2:   5 Rational Numbers More
  301.    wt: 2:   4 Rational Numbers
  302.    wt: 2:   3 Fractions
  303.    wt: 2:   3 Geometric Formulas and Function Notation
  304.    wt: 2:   1 Formulas Dependence and Function Notation
  305.    wt: 2:   Skill Development Notes
  306.    wt: 2:   10 One Example
  307.    wt: 2:   9 Three Examples
  308.    wt: 2:   8 One Example
  309.    wt: 2:   7 Two Examples
  310.    wt: 2:   5 Three Examples
  311.    wt: 2:   4 Two Examples
  312.    wt: 2:   3 Two Examples
  313.    wt: 2:   2 Three Examples
  314.    wt: 2:   5 Talking about Numbers and Quantities
  315.    wt: 2:   4 A Brief Story of numbers and algebra
  316.    wt: 2:   016 Numbering Occidental Calendar Days
  317.    wt: 2:   015 School and work day counting tables
  318.    wt: 2:   011 Division of Time Intervals By Numbers
  319.    wt: 2:   4 Mixing and Changing Units of Time
  320.    wt: 2:   3 Units and Lengths of Time
  321.    wt: 2:   2 Time and Date Matters in School
  322.    wt: 2:   1 Intro of Kids To Time Date Skills
  323.    wt: 2:   Example 1. Area Between x and x squared
  324.    wt: 2:   38 Formulas and derivatives for powers and roots
  325.    wt: 2:   13 Limits with Parameters and Derivatives Take II
  326.    wt: 2:   12 Limits with Parameters and Derivatives Take I
  327.    wt: 2:   9 Limits Continuity and Composition
  328.    wt: 2:   5 Jumps and absence of unlimited error control
  329.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  330.    wt: 2:   Chapter 20 Vectors and Complex Numbers
  331.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  332.    wt: 2:   Appendix E. How To Study Mathematics and Why
  333.    wt: 2:   Appendix D. What to do in School and Why
  334.    wt: 2:   Chapter 31 Direct and Indirect Reason
  335.    wt: 2:   Chapter 29 Contrapositive and Vacuously True Implications
  336.    wt: 2:   Chapter 27 Shorthand Symbols as Pronouns
  337.    wt: 2:   Chapter 24. Personal Investment and Pension EGS
  338.    wt: 2:   Chapter 22. Geometric Sums and Sequences
  339.    wt: 2:   Chapter 20. Degrees and Radians
  340.    wt: 2:   Chapter 19. Functions and Sets
  341.    wt: 2:   Chapter 14. Forward and Backward Use of a Formula
  342.    wt: 2:   Chapter 12. Shorthand Usage Guide
  343.    wt: 2:   Chapter 11. Why Shorthand
  344.    wt: 2:   Chapter 10 Describing and Changing Calculations
  345.    wt: 2:   Chapter 9 Talking about Numbers or Quantities
  346.    wt: 2:   Chapter 8 Three Skills For Algebra
  347.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  348.    wt: 2:   Chapter 4 Complex Numbers and Why Slopes
  349.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  350.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  351.    wt: 2:   R Why Learn Mathematics Skills
  352.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  353.    wt: 2:   O On Learning Mathematics and Science
  354.    wt: 2:   L Skills with take home value
  355.    wt: 2:   N Improving Marks on Tests and Finals
  356.    wt: 2:   J. More on written work and showing skill
  357.    wt: 2:   H Jigsaw puzzles and problem solving
  358.    wt: 2:   G. Written work formats for developing and showing skill
  359.    wt: 2:   E. When and how to correct errors
  360.    wt: 1:   Appendix 1 primary and preschool mathematic
  361.    wt: 1:   G LAMP Introduction Problem Solving Skills
  362.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  363.    wt: 1:   Skills Chapter 5 Calculus
  364.    wt: 1:   Skills Chapter 4 Logic
  365.    wt: 1:   Skills Chapter 3 Algebra
  366.    wt: 1:   Skills Chapter 2 Geometry
  367.    wt: 1:   Skills Chapter 1 Arithmetic
  368.    wt: 1:   Skills Chapter 0 Introduction
  369.    wt: 1:   7 logic review and decimals an odd combination
  370.    wt: 1:   5 logarithms and exponentials etc
  371.    wt: 1:   2 arithmetic with signed numbers
  372.    wt: 1:   1 arithmetic with unsigned numbers
  373.    wt: 1:   key notes and themes
  374.    wt: 1:   what should be learnt and When
  375.    wt: 1:   standards for course material
  376.    wt: 1:   Theory of Knowledge
  377.    wt: 1:   Education in mathematics science and technology
  378.    wt: 1:   Motivation and Context Problem
  379.    wt: 1:   fairness and inductive principles for instruction
  380.    wt: 1:   Home Tutoring and Home Schooling
  381.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  382.    wt: 1:   24 Standards For Skill Develoment Take II
  383.    wt: 1:   24 Standards For Skill Develoment
  384.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  385.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  386.    wt: 1:   17 Math Booklets for children and young teenagers
  387.    wt: 1:   14 Multiplication and Times Tables
  388.    wt: 1:   13 Addition and Addition Tables
  389.    wt: 1:   12 Goals and Objectives For Mathematics
  390.    wt: 1:   11 Help and Defend Your Child or Teens Education
  391.    wt: 1:   6 Discipline Who is in Charge Conserving Authority
  392.    wt: 1:   5 Patience Please for Yourself and Your Charges
  393.    wt: 1:   4 Learning Takes Time and Effort
  394.    wt: 1:   1 Speaking Skills
  395.    wt: 1:   Ages 12 to 14 Geometry
  396.    wt: 1:   Ages 12 to 14 Arithmetic
  397.    wt: 1:   Ages 10 to 12 Geometry
  398.    wt: 1:   Ages 10 to 12 Arithmetic
  399.    wt: 1:   Ages 9 to 10
  400.    wt: 1:   Ages 8 to 9
  401.    wt: 1:   Ages 7 to 8
  402.    wt: 1:   Ages 6 to 7
  403.    wt: 1:   Ages 4 plus to 5 plus
  404.    wt: 1:   Ages 3 plus to 4 plus
  405.    wt: 1:   26 Function definitions done and coming
  406.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  407.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  408.    wt: 1:   19 Horizontal line rule and method
  409.    wt: 1:   18 Vertical Line Rule and Method
  410.    wt: 1:   17 Function maxima minima and their location
  411.    wt: 1:   11 Function Domain Range Source and Targets
  412.    wt: 1:   9 Set theory term relation possible origins
  413.    wt: 1:   8 Set view of relations and functions
  414.    wt: 1:   6 Set Existence Formation and Notation
  415.    wt: 1:   4 Function notation in and beyond mathematics
  416.    wt: 1:   9 quadratics physical and further context
  417.    wt: 1:   11 Growth and Decay in Biology
  418.    wt: 1:   10 Exponential Growth and Decay Models
  419.    wt: 1:   6 Formulas for Even and Odd Roots with Logarithms
  420.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  421.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  422.    wt: 1:   16 cotangent function Definition Graph and Inverse
  423.    wt: 1:   15 cosecant function Definition Graph and Inverse
  424.    wt: 1:   14 secant function Definition Graph and Inverse
  425.    wt: 1:   13 cosecant function Definition Graph and Inverse
  426.    wt: 1:   8 Radian Measures of Common Angles
  427.    wt: 1:   7 Radian Measures in special Triangles
  428.    wt: 1:   6 Radian Measure to Degrees
  429.    wt: 1:   5 Degrees to Radian Measure
  430.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  431.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  432.    wt: 1:   2 Radian Measure Numerical Value of one degree
  433.    wt: 1:   A Global Time and Navigation
  434.    wt: 1:   15 Dot and Cross Product
  435.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  436.    wt: 1:   4 graphing y=Asin(x c)
  437.    wt: 1:   3 graphing y=f(x c) plus K
  438.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  439.    wt: 1:   1 graphing y=f(x a)
  440.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  441.    wt: 1:   Triangle Angles Sum To 180 Degrees
  442.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  443.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  444.    wt: 1:   Straight Lines ASA Intersection Study More
  445.    wt: 1:   Straight Lines ASA Intersection Study
  446.    wt: 1:   Straight Lines Instersection Solving Equations
  447.    wt: 1:   Straight Lines Intersection of
  448.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  449.    wt: 1:   C Straight Lines Slope from Coordinates
  450.    wt: 1:   B Straight Line Slope Scaling Properties More
  451.    wt: 1:   A Straight Line Slope Scaling Properties
  452.    wt: 1:   14 Straight Lines Equations General Case
  453.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  454.    wt: 1:   12 Straight Lines Graphing mx plus b
  455.    wt: 1:   11 Straight Lines Graphing y=mx
  456.    wt: 1:   10 Straight Lines through Origin Equations More
  457.    wt: 1:   9 Straight Lines through Origin Equations
  458.    wt: 1:   8 Straight Lines Equation for vertical
  459.    wt: 1:   7 Tangent Function is odd on this domain
  460.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  461.    wt: 1:   5 Tangent Function Graph
  462.    wt: 1:   4 Tangent Function Properties
  463.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  464.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  465.    wt: 1:   1 Straight Lines Slope Concept
  466.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  467.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  468.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  469.    wt: 1:   29 secant cosecant and cotangent for acute angles
  470.    wt: 1:   27 Logarithmic use of products of sines and cosines
  471.    wt: 1:   26 Formulas for products of sines and cosines
  472.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  473.    wt: 1:   21 sine and cosine Half Angle Formulas
  474.    wt: 1:   20 sine and cosine Double Angle Formulas
  475.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  476.    wt: 1:   17E Trig Formulas for dot and cross Products
  477.    wt: 1:   17D cis formulas for sine cosines and tangent
  478.    wt: 1:   17C sine and cosine double triple angle formulas
  479.    wt: 1:   17A The complex number valued trig function cis
  480.    wt: 1:   10 Graphs of sines and cosines many periods
  481.    wt: 1:   9 Graphs of sine and cosine over one period
  482.    wt: 1:   7 period of sine and cosine
  483.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  484.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  485.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  486.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  487.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  488.    wt: 1:   19 N th Roots of Unity
  489.    wt: 1:   18 Sixth Roots of Unity
  490.    wt: 1:   17 Cube Roots of unity
  491.    wt: 1:   15 Pythagorean Theorem Converse
  492.    wt: 1:   14 Law of cosines
  493.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  494.    wt: 1:   8 Unit Circle Development of Trigonometry
  495.    wt: 1:   7 Second Way to Calculate Products
  496.    wt: 1:   5 An Easy Proof of the Distributive Law
  497.    wt: 1:   4 Multiplication Properties
  498.    wt: 1:   3 Addition Properties
  499.    wt: 1:   1 Rectangular Polar Coordinates Review
  500.    wt: 1:   8 Triangles Cascade Problem Solving
  501.    wt: 1:   6 Trigonometry Sines of Supplementary Angles
  502.    wt: 1:   1 Angle Measurement with Degrees
  503.    wt: 1:   Why Trigonometry the whyslopes view
  504.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  505.    wt: 1:   8 Similarity of Triangles and Polygons
  506.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  507.    wt: 1:   Four Simple Exercises
  508.    wt: 1:   12 Links Lessons elsewhere
  509.    wt: 1:   11 A Partial Summary
  510.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  511.    wt: 1:   8 Mid Point Formula
  512.    wt: 1:   5 Algebraic View of Slopes
  513.    wt: 1:   4 Equations for lines three forms
  514.    wt: 1:   3 Slope product for perpendicular lines
  515.    wt: 1:   2 point slope equation for a line
  516.    wt: 1:   13 Pythagorean spatial distance formulas
  517.    wt: 1:   12 Spatial Coordinates
  518.    wt: 1:   11 Triangle Inequality
  519.    wt: 1:   10 Pythagorean plane distance formula
  520.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  521.    wt: 1:   8 Distance Between Points on a Line
  522.    wt: 1:   3 Rectangular Coordinates Review
  523.    wt: 1:   2 Cartesian Coordinates with signs
  524.    wt: 1:   1 Cartesian Coordinates sans signs
  525.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  526.    wt: 1:   PS G Rotation Distributes over Addition
  527.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  528.    wt: 1:   PS E Multiplication with Polar Coordinates
  529.    wt: 1:   PS D Addition with Cartesian Coordinates
  530.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  531.    wt: 1:   PS B Parallelogram Construction Methods
  532.    wt: 1:   PS A Kite Construction Methods
  533.    wt: 1:   21 Parallelograms
  534.    wt: 1:   19 Right Triangle Similarity
  535.    wt: 1:   18 Triangle Similarity Take 1
  536.    wt: 1:   17 Right Bisectors of Triangle Sides
  537.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  538.    wt: 1:   14 Parallel Lines Postulate
  539.    wt: 1:   13 Angle Side Angle Failure
  540.    wt: 1:   12 Side Angle Side Failure
  541.    wt: 1:   11 Triangle Construction Fails
  542.    wt: 1:   10 Dropping a perpendicular to line
  543.    wt: 1:   9 Construction of a right bisector
  544.    wt: 1:   8 Isoceles Triangles
  545.    wt: 1:   7 Angle Side Angle
  546.    wt: 1:   5 Side Angle Side
  547.    wt: 1:   4 Side Side Side
  548.    wt: 1:   3 Isometry of Triangles Congruence
  549.    wt: 1:   2 Correspondence between Triangles
  550.    wt: 1:   Short Course on Euclidean Geometry
  551.    wt: 1:   25 Mid way Convergence to Axiomatic Approach
  552.    wt: 1:   23 Distributive Law Two Derivations
  553.    wt: 1:   21 Addition of Multiples of a Single Vector
  554.    wt: 1:   19 Signed Multiples of Vectors
  555.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  556.    wt: 1:   17 Arrows Rotate to Reverse with Length Unchanged
  557.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  558.    wt: 1:   15 Head to Tails in place Addition Associative
  559.    wt: 1:   9 Division with Digits after Decimal Point
  560.    wt: 1:   7 Arithmetic with Infinite Decimal Expansions
  561.    wt: 1:   6 Infinite Decimals Ending in 9 repeating
  562.    wt: 1:   4 Location of Point in Decimal Addition
  563.    wt: 1:   3 Location of Point in Decimal Multiplication
  564.    wt: 1:   2 Counting Digits in Decimal Multiplication
  565.    wt: 1:   E Long Division Methods more
  566.    wt: 1:   D Long Division Methods
  567.    wt: 1:   C Three Decimal Subtraction Methods
  568.    wt: 1:   A Decimal Addition Columm Methods
  569.    wt: 1:   8 Column Multiplication Methods in General
  570.    wt: 1:   7 Decimals Multiplication Methods Examples
  571.    wt: 1:   4 Commutative Law Groups Counting Form
  572.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  573.    wt: 1:   3 Proportionality Examples
  574.    wt: 1:   2 Algebraic View
  575.    wt: 1:   1 What is Proportionality
  576.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  577.    wt: 1:   6 Compound Interest Forward and Backwards
  578.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  579.    wt: 1:   5 Equality in Algebra
  580.    wt: 1:   3 Product Axioms Two Forms
  581.    wt: 1:   1 Equivalent Computation Rules
  582.    wt: 1:   9 Coordinates for Regions in Space
  583.    wt: 1:   2 Integers
  584.    wt: 1:   5 Independent versus Dependent Variables
  585.    wt: 1:   4 Changing Letters
  586.    wt: 1:   2 Computation Rules Evaluation
  587.    wt: 1:   3 GE III Equation Addition and Multiplication
  588.    wt: 1:   2 GE II Comparison
  589.    wt: 1:   6 Algebraic Solution Example
  590.    wt: 1:   1 Written work formats for developing and showing skill
  591.    wt: 1:   9 Sets in Probability and Statistics
  592.    wt: 1:   8 Sets of Numbers
  593.    wt: 1:   1 Three Skills For Algebra
  594.    wt: 1:   014 Counting Days with Calendars
  595.    wt: 1:   013 Travel Time Tables
  596.    wt: 1:   012 Division of Time Intervals by Time Intervals
  597.    wt: 1:   010 Repeated Addition of Time Intervals
  598.    wt: 1:   8 Addition of Time Intervals via subtotaling
  599.    wt: 1:   7 Addition of Time Intervals
  600.    wt: 1:   6 How long is a million seconds
  601.    wt: 1:   5 Conversion Arithmetic
  602.    wt: 1:   Example 2 volume of a cone
  603.    wt: 1:   Example 1 volume of a pyramid
  604.    wt: 1:   Volume of Solid by Cross Sections Lesson
  605.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  606.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  607.    wt: 1:   Example 4 with x function of y
  608.    wt: 1:   Example 3
  609.    wt: 1:   Example 2
  610.    wt: 1:   Example 1
  611.    wt: 1:   Area Between Curves Lesson Take 2
  612.    wt: 1:   Area Between Curves Lesson Take 1
  613.    wt: 1:   Summary
  614.    wt: 1:   17 Derivatives of quotients of sine and cosine
  615.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  616.    wt: 1:   15 sine and cosine derivatives 3rd step
  617.    wt: 1:   14 sine and cosine derivatives 2nd step
  618.    wt: 1:   13 sine and cosine derivatives 1st step
  619.    wt: 1:   11 Limits at infinity Three Examples
  620.    wt: 1:   10 Three one sided limits with infinite values
  621.    wt: 1:   8 Four Animated Examples
  622.    wt: 1:   7 Evaluation by immediate or delayed substitution
  623.    wt: 1:   6 Continuity at a point
  624.    wt: 1:   4 Numerical properties
  625.    wt: 1:   3 Decimal insights for limits continuity convergence
  626.    wt: 1:   2 Algebraic codification
  627.    wt: 1:   1 Numerical introduction
  628.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  629.    wt: 1:   PostScript For and Against Decimal Perspectives
  630.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  631.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  632.    wt: 1:   Chapter 22 Complex Numbers
  633.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  634.    wt: 1:   Chapter 12. Units and Slopes
  635.    wt: 1:   Chapter 10 Slopes and Units
  636.    wt: 1:   Chapter 7 Slopes and Velocity
  637.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  638.    wt: 1:   Chapter 2. Slopes and Ski Trails
  639.    wt: 1:   Postscript More on Better Performance
  640.    wt: 1:   Postscript For Better Performance
  641.    wt: 1:   Appendix C. How to Read
  642.    wt: 1:   Appendix B. How To Learn
  643.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  644.    wt: 1:   Chapter 30 Truth Tables
  645.    wt: 1:   Chapter 28 Occurrence Tables
  646.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  647.    wt: 1:   Chapter 25. Mathematical Induction Examples
  648.    wt: 1:   Chapter 23. Notation For Sums
  649.    wt: 1:   Chapter 21. Third Reading Guide
  650.    wt: 1:   Chapter 18. Rules for Algebra
  651.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  652.    wt: 1:   Chapter 16. Painless Theorem Proving
  653.    wt: 1:   Chapter 15. Solving Linear Equations
  654.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  655.    wt: 1:   Chapter 13. Second Reading Guide
  656.    wt: 1:   Postscript What is a Variable
  657.    wt: 1:   Solutions For Arithmetic Exercises
  658.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  659.    wt: 1:   Chapter 6 Change of Language
  660.    wt: 1:   Chapter 4 Longer Chains of Reason
  661.    wt: 1:   Chapter 3 Chains of Reason
  662.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  663.    wt: 1:   Foreword
  664.    wt: 1:   Chapter 2 For and Against Mathematics
  665.    wt: 1:   Postscript B More on Story Telling and Reason
  666.    wt: 1:   Chapter 24 Direct and Indirect Reason
  667.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  668.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  669.    wt: 1:   Chapter 18 Sense and Knowledge
  670.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  671.    wt: 1:   Chapter 14 Deductive and Empirical Views of Mathematics
  672.    wt: 1:   Chapter 4 Implication Rules Forwards and Backwards
  673.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  674.    wt: 1:   S Adding words to algebra
  675.    wt: 1:   N Mathematics Prepare for College Studies
  676.    wt: 1:   M Words to extend arithmetic
  677.    wt: 1:   H more Routine to non routine problem solving
  678.    wt: 1:   F. The student teacher tutor feedback loop
  679.    wt: 1:   D. Check work a must with a caution
  680.    wt: 1:   C. Domino effect of being careful
  681.    wt: 1:   B. Domino effect of errors
  682.    wt: 1:   A. Skill has to be seen to believed
  683.    wt: 1:   Chapter 8 Skipped Topics and Why
  684.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  685.    wt: 1:   Chapter 6 More Algebra and Geometry
  686.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  687.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  688.    wt: 1:   Helping the Blind in Logic and Mathematics
  689.    wt: 1:   More Algebra and Slope based Calculus Preview
  690.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  691.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  692.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  693.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  694.    wt: 1:   The Math Forum and Site Content
  695.    wt: 14:   C Equality for Fractions and Two Term Ratios and Fractions
  696.    wt: 12:   B Fractions and Two Term Ratios
  697.    wt: 12:   A Similarities between Fractions and Two Term Ratios
  698.    wt: 12:   9 Improper Fractions and Mixed Numbers
  699.    wt: 11:   21 Reciprocals for Fractions and Wholes
  700.    wt: 11:   10 Simplification of Fractions and Mixed Numerals
  701.    wt: 10:   3 Comparison of Negative Numbers
  702.    wt: 10:   1 More and Less Than for Counts and Measures
  703.    wt: 10:   D Three Term Ratios
  704.    wt: 10:   22 Complex Compound Fractions
  705.    wt: 10:   20 Dividing Fractions the Why
  706.    wt: 10:   19 Dividing Fractions How TO
  707.    wt: 10:   17 Efficient Ways to Add and Subtract
  708.    wt: 10:   15 Adding and Subtracting with Unlike Denominators
  709.    wt: 10:   14 Adding and Subtracting with Like Denominators
  710.    wt: 10:   13 Fraction Comparison Algebraic View
  711.    wt: 10:   12 Fraction Comparison
  712.    wt: 10:   6 Multiplication of Mixed Numbers
  713.    wt: 10:   5 Equivalent Fractions

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicylce?

Death Penalty: How Texas sent an innocent man to his death - The wrong Carlos.

For home-tutoring or -schooling, or for schools or colleges with course content control: Secondary Mathematics for Ages 11+, A Practical Approach.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

Return to Page Top

Location: Site Entrance << Search

[1] [2] [3] [4] [5]

Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

All trademarks and copyrights in this are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster.
The Rest © 1995-2011, by site author, Alan Selby, Ph. D., Montreal,
All Rights Reserved --- Skype or Email to contact.